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Combinations in Mathematics

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.

What is the number of ways to choose 3 objects from a set of 5 distinct objects?

a)

10

b)

15

c)

5

d)

20

2.

In how many ways can a committee of 4 members be formed from a group of 10 people?

a)

210

b)

120

c)

45

d)

100

3.

If you have 8 different books and you want to choose 2 to take on a trip, how many combinations are possible?

a)

28

b)

64

c)

56

d)

36

4.

Which of the following represents the combination formula?

a)

n! / (r!(n-r)!)

b)

n! / r!

c)

n + r

d)

n - r

5.

How many different ways can you select 2 fruits from a basket containing an apple, a banana, and a cherry?

a)

3

b)

6

c)

4

d)

5

6.

If a class of 12 students is to be divided into groups of 3, how many different groups can be formed?

a)

220

b)

495

c)

144

d)

120

7.

Which of the following scenarios is best described by combinations rather than permutations?

a)

Arranging books on a shelf

b)

Selecting a team for a quiz competition

c)

Assigning seats in a classroom

d)

Determining the order of finishers in a race

8.

How many ways can you choose 5 toppings from a list of 8 available pizza toppings?

a)

56

b)

80

c)

128

d)

32

9.

What is the combination of 6 items taken 2 at a time?

a)

15

b)

12

c)

20

d)

30

10.

If a box contains 4 red balls and 6 blue balls, how many ways can you choose 3 balls of any color?

a)

120

b)

60

c)

80

d)

100